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# What is the area of the 6 rectangles shown in the figure?

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What is the area of the 6 rectangles shown in the figure?  [#permalink]

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17 Sep 2018, 22:09
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Difficulty:

75% (hard)

Question Stats:

42% (02:09) correct 58% (01:49) wrong based on 43 sessions

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What is the area of the 6 rectangles shown in the figure?

(1) The area of rectangle D is twice the area of rectangle E.
(2) The area of rectangle A is equal to the area of rectangle F and the area of rectangle E, which is 20, is equal to the area of rectangle F.

Attachment:

image004.jpg [ 4.51 KiB | Viewed 555 times ]

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Re: What is the area of the 6 rectangles shown in the figure?  [#permalink]

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18 Sep 2018, 02:06
1
Bunuel wrote:

What is the area of the 6 rectangles shown in the figure?

(1) The area of rectangle D is twice the area of rectangle E.
(2) The area of rectangle A is equal to the area of rectangle F and the area of rectangle E, which is 20, is equal to the area of rectangle F.

Attachment:
image004.jpg

After combining the two statement we get

Area of E = Area of F = Area of A = 20
Now statement 1 gives, Area of D = 40
i.e. Area of B = Area of C = (1/2) Area of E or F = 10

Now we have area of each rectangle hence

SUFFICIENT

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Re: What is the area of the 6 rectangles shown in the figure?  [#permalink]

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18 Sep 2018, 21:45
1
nithinjohn wrote:
GMATinsight wrote:
Bunuel wrote:

What is the area of the 6 rectangles shown in the figure?

(1) The area of rectangle D is twice the area of rectangle E.
(2) The area of rectangle A is equal to the area of rectangle F and the area of rectangle E, which is 20, is equal to the area of rectangle F.

Attachment:
image004.jpg

After combining the two statement we get

Area of E = Area of F = Area of A = 20
Now statement 1 gives, Area of D = 40
i.e. Area of B = Area of C = (1/2) Area of E or F = 10

Now we have area of each rectangle hence

SUFFICIENT

Could you please explain how you got the area of B and C as 10? I did not understand the part where you deduced that the AREA of B=1/2( Area of E or F)

nithinjohn
Area of D = 40
Area of A = 20
this indicates that all the rectangle in first row have areas equal to half of areas of rectangle immediately below them because their lengths are the same and width of rectangle in above row is half of that of in immediately below rectangles respectively

that's why area of B and V will be half of area of E and F respectively

I hope this helps!!!
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Re: What is the area of the 6 rectangles shown in the figure?  [#permalink]

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18 Sep 2018, 20:57
GMATinsight wrote:
Bunuel wrote:

What is the area of the 6 rectangles shown in the figure?

(1) The area of rectangle D is twice the area of rectangle E.
(2) The area of rectangle A is equal to the area of rectangle F and the area of rectangle E, which is 20, is equal to the area of rectangle F.

Attachment:
image004.jpg

After combining the two statement we get

Area of E = Area of F = Area of A = 20
Now statement 1 gives, Area of D = 40
i.e. Area of B = Area of C = (1/2) Area of E or F = 10

Now we have area of each rectangle hence

SUFFICIENT

Could you please explain how you got the area of B and C as 10? I did not understand the part where you deduced that the AREA of B=1/2( Area of E or F)
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Re: What is the area of the 6 rectangles shown in the figure?  [#permalink]

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18 Sep 2018, 22:07
nithinjohn wrote:
GMATinsight wrote:
Bunuel wrote:

What is the area of the 6 rectangles shown in the figure?

(1) The area of rectangle D is twice the area of rectangle E.
(2) The area of rectangle A is equal to the area of rectangle F and the area of rectangle E, which is 20, is equal to the area of rectangle F.

Attachment:
The attachment image004.jpg is no longer available

After combining the two statement we get

Area of E = Area of F = Area of A = 20
Now statement 1 gives, Area of D = 40
i.e. Area of B = Area of C = (1/2) Area of E or F = 10

Now we have area of each rectangle hence

SUFFICIENT

Could you please explain how you got the area of B and C as 10? I did not understand the part where you deduced that the AREA of B=1/2( Area of E or F)

Hi nithinjohn,
Please refer the enclosed diagram, you would notice that
Area of rectangle B=area of rectangle C=z*k

We have x*y=40---(1), x*z=20----(2), and y*k=20 or, k=$$\frac{20}{y}$$---(3)
From (1)&(2),we have z=$$\frac{y}{2}$$

So z*k=(y/2)*(20/y)=10, which is 1/2 times area of E or F

Hope it helps.
Attachments

6 Rectangle area.jpg [ 19.36 KiB | Viewed 344 times ]

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Re: What is the area of the 6 rectangles shown in the figure?  [#permalink]

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14 Nov 2019, 04:54
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Re: What is the area of the 6 rectangles shown in the figure?   [#permalink] 14 Nov 2019, 04:54
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